%I A110495
%S A110495 1,2,3,4,5,6,8,9,10,12,16,18,20,24,32,33,34,36,40,48,65,66,72,96,136,
%T A110495 144,192,256,258,264,288,520,576,768,1056
%N A110495 Numbers n such that binomial(2n,n) is cubefree.
%C A110495 No others < 15000. This sequence is probably complete. According to Sander, 
               this sequence - and the sequence for any power - is finite.
%D A110495 J. W. Sander, A story of binomial coefficients and primes, Amer. Math. 
               Monthly, Vol. 102, No. 9 (Nov. 1995), 802-807.
%t A110495 t3=Table[f=FactorInteger[Binomial[2n, n]]; s=Select[f, #[[2]]>2&]; If[s=={}, 
               0, s[[ -1, 1]]], {n, 15000}]; Flatten[Position[t3, 0]]
%Y A110495 Cf. A110496 (least k such that prime(n)^3 divides binomial(2k, k)).
%Y A110495 Sequence in context: A093863 A091902 A067698 this_sequence A052347 A022773 
               A049997
%Y A110495 Adjacent sequences: A110492 A110493 A110494 this_sequence A110496 A110497 
               A110498
%K A110495 nonn
%O A110495 1,2
%A A110495 T. D. Noe (noe(AT)sspectra.com), Jul 22 2005